{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "绘制距离矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "N: 465130\tND: 965\tNL: 965\n",
      "Avg percentage of neighbors: 20.000000 [93025]\n",
      "Compute Rho with gaussian kernel of radius:     0.014499\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from sklearn.manifold import MDS\n",
    "from mpl_toolkits.mplot3d import Axes3D \n",
    "from matplotlib import pyplot as plt\n",
    "from scipy.spatial.distance import pdist, squareform\n",
    "import pandas as pd\n",
    "def plot_histo(x, ignore=None):\n",
    "    \"Generate and plot a histogram for some data. The optional ignore is a histogram index to 0 out.\"\n",
    "    h,b = np.histogram(x)\n",
    "    if ignore is not None: h[ignore] = 0\n",
    "    c = (b[:-1]+b[1:])/2\n",
    "    w = 0.7*(b[1]-b[0])\n",
    "    return plt.bar(c,h,align='center',width=w)\n",
    "colors=['red','green','blue','yellow','orange','cyan','magenta']\n",
    "\n",
    "\n",
    "# 加载特征数据\n",
    "node_features_path = 'data/ClfSim.csv'\n",
    "node_df = pd.read_csv(node_features_path)\n",
    "features = node_df[['sim']].values.flatten()\n",
    "\n",
    "# 计算全节点距离矩阵\n",
    "distance_matrix = squareform(pdist(features.reshape(-1, 1), metric='euclidean'))\n",
    "n_nodes = distance_matrix.shape[0]\n",
    "\n",
    "# 生成三元组格式\n",
    "xx = []\n",
    "for i in range(n_nodes):\n",
    "    for j in range(i+1, n_nodes):  # 避免重复记录\n",
    "        xx.append([i+1, j+1, distance_matrix[i, j]])  # 节点编号从1开始（网页7示例）\n",
    "xx = np.array(xx)\n",
    "\n",
    "# 构建对称距离矩阵（保留原始处理逻辑）\n",
    "ND = n_nodes  # 最大节点数即为矩阵维度\n",
    "dist = np.zeros((ND, ND), dtype=float)\n",
    "for d in xx:\n",
    "    i, j = int(d[0])-1, int(d[1])-1  # 转换回0-based索引\n",
    "    dist[i][j] = d[2]\n",
    "    dist[j][i] = d[2]  # 对称填充\n",
    "\n",
    "# 计算截断距离\n",
    "N = xx.shape[0]\n",
    "percent = 20# 每个数据点的邻居数量约为总节点数的percent\n",
    "position = int(np.round(N * percent / 100.0) - 1)\n",
    "sda = np.sort(xx[:, 2])\n",
    "dc = sda[position]\n",
    "rho = np.zeros((ND,), 'float')\n",
    "# 输出关键参数（格式优化）\n",
    "print(f'N: {N}\\tND: {ND}\\tNL: {n_nodes}')\n",
    "print(f'Avg percentage of neighbors: {percent:5.6f} [{position}]')\n",
    "print(f'Compute Rho with gaussian kernel of radius: {dc:12.6f}')\n",
    "\n",
    "# 可视化距离分布\n",
    "tt = plot_histo(dist.flatten())  # 展平矩阵为1D数组\n",
    "plt.title(\"Distance Histogram\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "绘制密度图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, '$\\\\rho$ histogram')"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in np.arange(ND-1):\n",
    "    for j in np.arange(i+1, ND):\n",
    "        tmp = np.exp(- (dist[i,j]/dc)**2)\n",
    "        rho[i] += tmp\n",
    "        rho[j] += tmp\n",
    "tt=plot_histo(rho)\n",
    "plt.title(r\"$\\rho$ histogram\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "绘制最小距离"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "maxd: 0.99980902448626\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(0.0, 1.0, 0.0, 40.0)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "maxd = dist.max().max()\n",
    "print ('maxd: %r' % maxd)\n",
    "\n",
    "rho_sorted,ordrho = np.sort(rho)[::-1],np.argsort(rho)[::-1]\n",
    "delta,nneigh = np.zeros((ND,), 'float'),np.zeros((ND,), 'float')\n",
    "delta[ordrho[0]] = -1\n",
    "for ii in np.arange(1, ND):\n",
    "    delta[ordrho[ii]] = maxd\n",
    "    for jj in np.arange(ii):\n",
    "        if dist[ordrho[ii],ordrho[jj]] < delta[ordrho[ii]]:\n",
    "            delta[ordrho[ii]] = dist[ordrho[ii],ordrho[jj]]\n",
    "            nneigh[ordrho[ii]] = ordrho[jj]\n",
    "delta[ordrho[0]] = delta.ravel().max()\n",
    "##np.savetxt(r'decision_graph.txt', np.dstack((rho,delta)).squeeze(), '%6.2f', '\\t')\n",
    "tt=plot_histo(delta)\n",
    "plt.title(r\"$\\delta$ histogram\")\n",
    "plt.axis([0,1,0,40])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "绘制决策图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 295x221 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ind,gamma = np.zeros((ND,),'float'),np.zeros((ND,),'float')\n",
    "for i in np.arange(ND):\n",
    "    ind[i] = i\n",
    "    gamma[i] = rho[i]*delta[i]\n",
    "# 绘图    \n",
    "plt.rcParams['font.family'] = 'Times New Roman'  # 设置全局字体\n",
    "plt.rcParams['font.size'] = 8\n",
    "plt.figure(figsize=(2.95, 2.21)) \n",
    "#\n",
    "plt.xlabel('rho',fontdict={'fontsize': 9})\n",
    "plt.ylabel('delta',fontdict={'fontsize': 9})\n",
    "plt.title('Decision Graph',fontdict={'fontsize': 10})\n",
    "# plt.axis([0,150,0,1])\n",
    "plt.plot(rho,delta, 'o', color='#506F83',markersize=4)\n",
    "# 保存高分辨率图像（含优化参数）\n",
    "plt.savefig('decisiongraph_Clf.png', \n",
    "            dpi=1500,            \n",
    "            bbox_inches='tight',# 裁剪空白区域\n",
    "            # pad_inches=0.05,\n",
    "            facecolor='white'   # 背景色（可选）\n",
    "           )\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAASwAAAD2CAYAAABsr7qIAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAdY0lEQVR4nO3dfVRUdeIG8GcGEZCXUUjedMRXwECLQpDUcF0z00oKLZXcY8KSpxdxlShbldVVObnKuhLtiqlbK1ZsomVa7qbgWytGJKaraCA6MEBowswgzijz/f3hMj9RKEZhZi7zfM6ZI3PncucZcR7v/c7lfmVCCAEiIgmQWzsAEVF7sbCISDJYWEQkGSwsIpIMFhYRSQYLi4gkg4VFRJLBwiIiyWBhEZFksLCI2qGyshIvv/wyXnrpJWtHsWvdrB2ArE+tVmPlypXo1q0bXF1d0djYCBcXF/j6+mLevHnWjveLsrOzsXfvXiiVSty4cQNarRaNjY1499134eLi0iHP0b17d9TX18PR0bFDtkd3h4Vl50pLSzFp0iRs3boVI0aMMC3fvn079u7da8Vk7fPmm29CpVLh/fffR7duN/85azQaTJ48GZcvX0bfvn075Hl69+6NQYMG4eLFix2yPbo7LCw7N2fOHDz77LMtygoAYmNjYTAYrJSqffbv34933nkHKpXKVFYA4OHhgczMTGg0mg59PrmcIyjWxp+AHSssLMTBgwcxc+bMVh+fMWOG6eulS5diyZIleO655zB//nzT98fExGD58uVYsmQJfH198fzzz6O6uhqTJ0+GQqFAVlYWACAnJwfh4eHYuXMnZsyYgZ49e2LdunX4z3/+g7CwMPj6+qKwsBAAoNVqkZCQgBUrVuDXv/41tm7d2mq+9PR0PP744+jVq9cdjw0fPhz3338/Kisr8dprr+Gpp57CW2+9BaVSiStXruDdd99FcnIy4uPjMX36dDQ1NaGwsBCxsbFYtmwZEhMT4e7ujueeew6NjY0ttp2WloY+ffpg1qxZZv+d0z0SZLfWr18vAAidTtdi+ZEjR0RiYqKYNWuW2Lt3rzhx4oQYOHCgEEKI2tpaAUBcunRJGAwGMXHiRPH000+LyspKcfHiRdGtWzexfPly0djYKHbs2CH8/PyEEELodDrh4eEhlixZIq5evSq2bdsm3N3dRW5urjAajSIpKUnMmDHDlGvOnDlCCCH++c9/itDQ0Fbze3p6iuTk5BbLrly5ItLT00VcXJxYsmSJ+PHHH8WqVauEv7+/+Pbbb8XGjRtFXV2dcHR0FEajUTQ1NQkPDw9RWFgompqaxJNPPil+9atfibKyMlFcXCxcXV3FqlWrhBBCpKamiocfflicO3dOqFQq0a1bN/HDDz903A+EfhH3sOxYQ0MDAOD69estlj/yyCNwc3PDyZMnMWHCBAQFBWHbtm0wGAzYv38/AECn08HR0RHe3t4ICwuDv78/lEolfH19MWbMGDg7O2P48OGorq4GALi6uqJnz54YN24cXFxcEBERAa1Wi2eeeQYymazFutOmTcObb76Jy5cv49ixY9DpdG3mvz17z549kZCQgOzsbISHh6N3797w9fXF4MGD8dBDDyEhIQEKhQL79u2DEAJ79uyBg4MDdDod5HI5vLy88Oijj2LAgAEYPnw4Zs6cid27d5u2HxoaisGDB6Nv377w8fExZSbLYGHZsaFDhwIAiouL73jM3d0dPXr0AHDzE7LS0lKsWLECI0eOBACI/133USaTtfg+BwcH09dyudy03u3r3rpe87pGoxEAcN999+Hjjz/Ghx9+iDFjxrTYxu3528oOwJRfJpPdkfPatWt44403MHDgQHh4eLT5HPfffz/q6upafaxbt264ceNGq49R5+Cgux174oknoFQqsWnTJkRHR7e53v79+7FhwwYcOHDAIrmWL18OAHj11VeRn5/f5nqJiYl47bXXcO7cOQwZMqTd2y8pKcErr7yCM2fO/OJAusFgQGBgYJuPt1V01Dm4h2XHunfvjg8//BA7duy4Y2D71jfid999B41GA71ej6+++goAUFNTg59++glCiF980zY//kvrNj/23Xff4dKlS7h+/Try8/PR2NiI8+fP37H+Sy+9hClTpuCFF17AlStXWs3erKmpyfT1yZMnodPpoNVqcezYMdTX16O+vh6VlZUAgKqqKtO6+fn5ePnll9vcLgvLslhYdm7UqFH49ttv8e9//xszZ87EW2+9hYULF6K8vBzp6ekAgKlTp0Kn02HYsGHQ6/UYPnw4srKyUFlZiaNHjyI/Px+lpaXYtWsXqqursX37dlRWVmLz5s0AgPfeew+7d+9GVVUVcnNzoVar8cEHHwAANm7ciIqKCnz66af473//i6+//hpz587FRx99hPHjxyMqKgpCCFNR3koulyMnJwezZ8/GzJkz8bvf/Q6LFy/GrFmzsHbtWkRFRUGtVmPHjh0oLi7Grl27AACPPfYY/Pz8EBoailOnTmHMmDHIysqCl5cXAODUqVNYu3Ytli5diokTJ2L8+PH44Ycf8NVXX+Gbb77BiRMnsGfPHtTU1CA3N9c0FkidTyb4XwSRyezZs9G/f3/84Q9/sHYUagX3sIhu0Z5DXLIeFhbR/xw9ehTHjh3D/v37cebMGWvHoVbwkJCIJIN7WEQkGSwsIpIMFhYRSUaXPNPdaDRCrVbD3d39jl/JICLLEkJAq9XC39//ni/R0yULS61WQ6lUWjsGEd1CpVLd8wUVu2RhNf/yq0qlgoeHh5XTENk3jUYDpVJpel/eiy5ZWM2HgR4eHiwsIhvREcMzHHQnIsnokntY7VFVcBgln2SjoaoCrn59ETQ1Dn6Ro60di4h+hl3uYVUVHEZh+gpoVeUwXr8OraochekrUFVw2NrRiOhn2GVhlXySDchkQPNvJQkByGQ4u32bdYMR0c+yy8JqqKr4/7JqJgR0apV1AhFRu9hlYbn69b25h3UrmQxu/jx3i8iW2WVhBU2NMx0GAjAdHgZOjbNuMCL6WXZZWH6RoxG+YDE8+g2A3NERHv0GIHzhEvhFjLJ2NCL6GXZ7WoNf5GiexkAkMXa5h0VE0sTCIiLJYGERkWSwsIhIMlhYRCQZLCwikgwWFhFJBguLiCSDhUVEksHCIiLJsHhh6fV6vPDCCwgNDUV0dDSqqqoAACkpKfD19YW/vz9KS0sBAFlZWXjvvfewcuVK03pEZL8sXlgHDhxAeno6Tp48iYiICKxduxYqlQoBAQGorq6GWq3GoEGDUFxcjPz8fCQkJCAuLg5JSUltblOv10Oj0bS4EVHXY/HCmjBhAry9vQEAo0aNgr+/P7744gusX78e4eHhKCoqAgDk5uYiJCQEANC/f3/k5eWhqamp1W2mpaVBoVCYbpyTkKhrsuoYVkFBARISEpCYmIiSkhKkpqYiJiYGWq0W1dXV8PT0NK3r4OCA2traVrezaNEi1NfXm24qFa8cStQVWe3yMvv27UNcXFyLeQOfeuopfP755ygtLYWPjw8aGhpMj+n1evTq1avVbTk5OcHJyanTMxORdVllD+vgwYPw9vZGaGgoqqqqYDQaTY+5ubkhJCQEsbGxpsPDsrIyjB07lqVEZOcsvoe1ZcsWpKamwtvbG0II9OnTBzqdDgEBAQgLC8PcuXPh6OiIBx54ABEREdi4cSNUKhUyMjIsHZWIbIxMiNunj5E+jUYDhUKB+vp6TlVPZGUd+X7kiaNEJBksLCKSDBYWEUkGC4uIJIOFRUSSwcIiIslgYRGRZLCwiEgyWFhEJBksLCKSDBYWEUkGC4uIJIOFRUSSwcIiIslgYRGRZLCwiEgyWFhEJBksLCKSDBYWEUkGC4uIJMPis+bo9XrEx8fj+PHj8PLywkcffQQAyMzMRFBQEAwGA+Lj4wEAWVlZkMvlqKmpwZw5c+Dn52fpuERkQyxeWAcOHEB6ejq8vb3x+uuvY+3atTh//jxWrlyJ4OBgxMfHIyIiAkajEfn5+di2bRvKy8uRlJSEnJycVrep1+uh1+tN9zUajaVeDhFZkMUPCSdMmABvb28AwKhRo9C7d298+eWXCA4OBgAMGzYMO3bsQG5uLkJCQgAA/fv3R15eHpqamlrdZlpaGhQKhemmVCot82KIyKKsOoZVUFCA6dOnw83NzbTM2dkZarUa1dXV8PT0NC13cHBAbW1tq9tZtGgR6uvrTTeVStXp2YnI8ix+SNhs3759iIuLg7+/f4vDOa1WCx8fHwgh0NDQYFqu1+vRq1evVrfl5OTEaeyJ7IBV9rAOHjwIb29vhIaG4tKlSxg3bhxKSkoAACdPnkRMTAxiY2NRVFQEACgrK8PYsWNZSkR2zuJ7WFu2bEFqaiq8vb0hhECfPn2QmZmJjIwMBAYGIioqCmFhYQCAiIgIbNy4ESqVChkZGZaOSkQ2RiaEENYO0dE0Gg0UCgXq6+vh4eFh7ThEdq0j3488cZSIJIOFRUSSwcIiIslgYRGRZLCwiEgyWFhEJBksLCKSDBYWEUkGC4uIJIOFRUSSwcIiIsm458K6evUqDh8+3BFZiIh+ltlXa9i5cyc2bNhguoZVU1MTVCoVysrKOjwcEdGtzC6s7OxsJCUlIT8/H0888QQqKirQ2NjYGdmIiFow+5AwOjoaEydORFhYGEJCQhAXF9fm5BBERB3J7D2siooKREZG4tChQ5g6dSoMBgMPB4nIIu7qAn5arRbu7u6or6/H/v378fDDD6Nfv36dke+u8AJ+RLbD6hfwKysrw6FDh1BcXAwvLy/89a9/vacQRETtYfYh4aRJk3DhwgXT3IIAcP78eaSlpXVoMCKi25ldWA0NDTh16lSLZcXFxWZt4/Tp00hOTkZKSgqio6MBACkpKfjggw8gl8tx6NAhDBo0iFPVE1ELZhfWrFmzUFlZiT59+piWmTs1/NChQ6FQKNA8fKZSqRAQEIDq6mrTOsXFxZyqnohaMHsM69q1axgxYgQGDhyIgQMHYsCAAZg8ebLZT9y9e3fT11988QXWr1+P8PBw01yEnKqeiG5n9h7WmjVr8PHHH5s+FRRC4LPPPrunEImJiUhMTMSuXbsQExODU6dOobq6Gg8++KBpneap6n19fe/4/kWLFmHBggWm+xqNhqVF1AWZXVjTpk3DqFGjIJfLWyzrCE899RQ+//xzlJaWwsfHh1PVE1ELZheWo6MjXnjhBQQHB5uWFRQUYPfu3Xcdwmg0mgrQzc0NISEhkMlkePvttwFwqnoiusnswlKpVOjXrx9uPd+0rbGltly4cAFnz57FkSNHEBkZicmTJyMgIABhYWGYO3cuHB0d8cADD3CqeiJqwewz3W//hBAACgsLER4e3qHB7kV7zqytKjiMkk+y0VBVAVe/vgiaGge/yNEWTkrU9XXkme5m72H9+OOPWLNmDTQajWkv68SJEygsLLynIJZUVXAYhekrAJkMEAJaVTkK01cgfMFilhaRDTO7sJ5//nkkJCS0+ATvLn4d0apKPsk2lRWAm3/KZDi7fRsLi8iGmV1YI0aMQEpKSotl48eP77BAltBQVfH/ZdVMCOjUKusEIqJ2MbuwXn/9dWzatAlDhgwxLfvyyy+xatWqDg3WmVz9+kKrKm9ZWjIZ3Px57haRLTO7sObPnw+1Wt1i4L20tFRShRU0Na7FGFbzn4FT46wdjYh+htmFdf36dZSUlEAmk5mWnTx5skNDdTa/yNEIX7AYZ7dvg06tgpu/EoFT4+AXMcra0YjoZ5hdWPPmzcPFixcREBBgWqbT6To0lCX4RY7mADuRxJhdWGvXrsWFCxfg6uoK4OYnhLW1tZIsLSKSFrMLKy4uDo8//jhcXFwA3CysTz/9tMODERHdzuzCSkpKanH/6tWrNnU9dyLquswurMzMTGRkZMBgMAAAbty4AQB45plnOjYZEdFtzC6swsJC7Ny5E59//jmmTZvGWZ+JyGLMvuJocHAwgoODERgYiKamJowePZqz5hCRRZi9hyWTyXD//ffj1KlTePbZZ1FSUmL6xJCIqDOZfXmZuXPnYtKkSTAajRgzZgwuXryIrVu3mgbf582bZ/UC40SqRLajI9+PZheWXC6Hv78/AgICcPXqVWRnZyMqKgo1NTXQ6/X44x//iDVr1txTqHvFwiKyHVad+fnNN99ERUUFjhw5gqKiIhQVFeHatWtwdnaGQqHA999/f0+BiIjaYvYYlouLC65cuQJHR0ccOXIEp0+fhrOzs+nxmpqaDg1IRNTM7MIKCQlB37590dTUhMzMTJw5cwbh4eHIyclBZWUlBg8e3Bk5iYjMH8MCbk65ZTAY4O7ublpWV1eHTZs2YebMmVafUp5jWES2w6qD7h3h9OnTSE5ORkpKCqKjo1FVVYXMzEwEBQXBYDAgPj4eAJCVlQW5XI6amhrMmTOn3UXIwiKyHVadhKIjDB06FAqFwnQt+FdffRUrV65EcHAw4uPjERERAaPRiPz8fGzbtg3l5eVISkpCTk5Oq9vT6/XQ6/Wm+xqNxiKvg4gsy+xPCTtK9+7dAdwsmy+//NI0MeuwYcOwY8cO5ObmIiQkBADQv39/5OXltTn/YVpaGhQKhenGaeqJuiarFVazn376CW5ubqb7zs7OUKvVqK6uhqenp2m5g4MDamtrW93GokWLUF9fb7qpVJxMgqgrssoh4a3uu+++FodzWq0WPj4+EEKgoaHBtFyv16NXr16tbsPJyYnT2BPZAavvYTk6OmLcuHEoKSkBcPP68DExMYiNjUVRUREAoKysDGPHjmUpEdk5q+xhXbhwAWfPnsWRI0cQGRmJv/zlL8jIyEBgYCCioqIQFhYGAIiIiMDGjRuhUqmQkZFhjahEZEOsclpDZ+NpDUS2w6q/S0hEZC0sLCKSDBYWEUkGC4uIJIOFRUSSwcIiIslgYRGRZLCwiEgyWFhEJBksLCKSDBYWEUkGC4uIJIOFRUSSwcIiIslgYRGRZLCwiEgyWFhEJBksLCKSDBYWEUmGTRVWZWUllEolfH198corr6CqqgqLFy/GP/7xD2zatMna8YjIyqw+L+GtNm3ahJKSEvTo0QMAEBsbe8cU9sOGDbvj+zhVPZF9sJk9LJ1Oh7y8PAwcOBBvvfVWm1PYt4ZT1RPZB5spLDc3N+Tl5eHMmTM4ceIE0tPTW53CvjWcqp7IPtjUISEA9OzZExs3bkRCQkKrU9i3hlPVE9kHm9nDEkKgeU7X2tpaxMTEtDqFPRHZL5vZw9q9ezeWLl2K2NhYDBgwAL/97W8xceLEVqewJyL7xKnqiahTcap6IrJLLCwikgwWFhFJBguLiCSDhUVEksHCIiLJYGERkWSwsIhIMlhYRCQZLCwikgwWFhFJBguLiCSDhUVEksHCIiLJYGERkWSwsIhIMlhYRCQZLCwikgybuaa7NVQVHEbJJ9loqKqAq19fBE2Ng1/kaGvHIqI22O013asKDqMwfYWFkxF1TT7hUYh4PbXVxzrymu42v4eVlZUFuVyOmpoazJkzB35+fh2y3aKM1R2yHSICagr/g2N/WtZmaXUUmy6s4uJi5OfnY9u2bSgvL0dSUhJycnLuWE+v17eYdFWj0fzito3XDR2alcje1RQe7fTnsOlB99zcXISEhAAA+vfvj7y8PDQ1Nd2xXlpaGhQKhemmVCotHZWI0PmjSzZdWNXV1fD09DTdd3BwQG1t7R3rLVq0CPX19aabSqWyZEwiAgDIOv0ZbPqQ0MfHBw0NDab7er0evXr1umM9JycnODk5mbVtxaBA1JeeveeMRHSTz4ioTn8Om97Dio2NRVFREQCgrKwMY8eONbuY2vLoqvVQDArskG0R2TufEY8gInlppz+PzZ/WsG7dOri6ukKlUiExMRF9+/b9xe/hVPVEtsOuTmuYP3++tSMQkY2w6UNCIqJb2fwe1t1oPsptz/lYRNS5mt+HHTH61CULS6vVAgDPxyKyIVqtFgqF4p62YfOD7nfDaDRCrVbD3d0dMlnb54ZoNBoolUqoVCqbH5xn1s4jpbxSzHrx4kXIZDL4+/tDLr+3UaguuYcll8vb9WliMw8PD5v/4Tdj1s4jpbxSyqpQKDosKwfdiUgyWFhEJBl2XVhOTk5ITU3tsLPnOxOzdh4p5bX3rF1y0J2Iuia73sMiImlhYRGRZLCwiEgyWFhEJBld8sTR9uqsCS7ull6vR3x8PI4fPw4vLy989NFHAIDMzEwEBQXBYDAgPj4egO1kb2howCOPPIJPP/0UTk5ONp0VAL766itUV1cjJCQEvr6+NpnXaDQiLS0NQUFBuHDhAsLCwjB06FCbynr69GkkJycjJSUF0dHRqKqqane+ttZtF2Gnjh8/LmbMmCGEEOL8+fNi2rRpVk4kxN69e0VNTY0QQojk5GSxcOFC8eyzz4rTp08LIYSYM2eOOHHihM1kNxqNYvXq1SIyMlKcP3/eprMKIcTmzZvFhg0bTPdtNe/x48fFvHnzhBBCaDQaMWXKFJvMOmPGDJGXlyeEMO/vsrV128tuT2tITU1F9+7d8fvf/x4A0Lt3b1RXV8PBwcHKyW7auXMnSkpKsHz5ctNlotetWweNRoOmpiabyL5582ZMnDgRM2fOxIYNG/DQQw/ZbFa1Wo2RI0di2bJlOHToEF566SWMGzfOJvPq9XpERUXhz3/+My5fvgwvLy9MmjTJ5rLOnj0bs2fPRlRUFDw9PduVr6KiotV1ly5t39VK7XYMq70TXFhLQUEBpk+fDjc3N9MyZ2dnqNVqm8j+r3/9Cw888AD8/f0BAD/99JPNZgWAXbt24bHHHsOLL76I2bNnY+TIkejRo4dN5nVycsKGDRuQkZGBjz/+GIGBgTb9d2vOz76tddvLbsew2jvBhTXs27cPcXFx8Pf3bzHfolarhY+PD4QQVs++bt06XL16FQBw/PhxvPrqq9DpdDaZFQCuXLmCnj17AgAeffRReHp6trhemi3lVavV2Lx5Mz755BO8/fbbWLx4sc3+OwCA++67r935PD09W123vex2D6szJ7i4FwcPHoS3tzdCQ0Nx6dIljBs3DiUlJQCAkydPIiYmxiay79mzB/n5+cjPz8eDDz6I7du34/HHH7fJrAAwduxYfPPNNwCApqYm9OvXD5MmTbLJvAUFBXB2dgYApKSkoLS01Gb/HQCAo6OjWflaW7e97HYMC7i7CS4605YtW5Camgpvb28IIdCnTx9kZmYiIyMDgYGBuHHjBubOnWtz2ceOHYu///3vcHBwsOmsq1evRrdu3dCjRw9ERESgd+/eNpnXYDBg4cKFiI6OhsFggK+vL4YMGWJTWS9cuIAZM2Zg8uTJWLBgAS5dutTufCqVqtV128OuC4uIpMVuDwmJSHpYWEQkGSwsIpIMFhYRSQYLi4gkg4VFRJLBwiIiyWBhkc2qq6vD/PnzzTqxkLo2FhbZrJ49eyIoKAjXrl2zdhSyESwssmkuLi7WjkA2xG6v1kDWsWXLFtTV1UGtVsPZ2RlPPvkk5s+fj9jYWLzzzjtYv349hg0bhvT0dAwePBg5OTkYMmQIAKC2thZ/+9vf0NjYiOLiYmRnZ+Prr79GcnIykpKSkJqait27d+Phhx+28qukzsLCIos5duwY9u7da7r088iRI9GvXz/Thd4OHToEDw8PTJkyBVu2bMGAAQOg0+lw7tw5AMCCBQvwpz/9Cb6+vnjuueewZs0arFixAi+++CL8/Pxw6NAhKJVKa75E6mQsLLKYnJwcBAQEmO4//fTT+Oyzz9CjRw8MHz4cSqUS5eXl+P777zFgwAAAQJ8+fUyFdfToUeTn5wMAhgwZYroQnIuLC4YPH47+/ftb9PWQ5bGwyGKMRmOLK2J6eXnB0dGxxTqXL19GQ0MDjEYj5PKWQ6x1dXWYNGkSPDw8MH36dA7G2yEOupPFTJkyBXv27DFdmfTcuXOYPn06gJtlBgDBwcFwdXXF1q1bAQCNjY1obGwEAIwZMwazZ8/GxYsXcfz4cXz44YembTd/P3VtLCyymOjoaLzxxht4/vnnsXr1avj6+iIwMBA//PADcnJyUF9fD1dXV2RnZ2P58uX4zW9+g2PHjqGurg6nT5/GO++8A61Wi5CQECxbtgzTpk3DgQMHUFtbi/fffx8Gg8HaL5E6GS/gR0SSwT0sIpIMFhYRSQYLi4gkg4VFRJLBwiIiyWBhEZFksLCISDJYWEQkGSwsIpIMFhYRSQYLi4gk4/8AaoBe0XOVJx0AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 295x221 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gamma = rho * delta\n",
    "gamma_sorted = np.sort(gamma)[::-1]\n",
    "# 寻找 gamma 值的显著拐点（如差分法）\n",
    "diff = np.diff(gamma_sorted)\n",
    "threshold_idx = np.argmax(diff < 0)  # 首次出现下降的位置\n",
    "rhomin = rho[ordrho[threshold_idx]]\n",
    "deltamin = delta[ordrho[threshold_idx]]\n",
    "gamma = rho * delta\n",
    "gamma_sorted = np.sort(gamma)[::-1]\n",
    "\n",
    "# 绘图    \n",
    "plt.rcParams['font.family'] = 'Times New Roman'  # 设置全局字体\n",
    "plt.rcParams['font.size'] = 8\n",
    "plt.figure(figsize=(2.95, 2.21)) \n",
    "#\n",
    "plt.xlabel('order',fontdict={'fontsize': 9})\n",
    "plt.ylabel('gamma',fontdict={'fontsize': 9})\n",
    "plt.title('Gamma Graph',fontdict={'fontsize': 10})\n",
    "plt.plot(gamma_sorted, 'o', color='#B25647',markersize=4)\n",
    "# 保存高分辨率图像（含优化参数）\n",
    "plt.savefig('Gammagraph_Clf.png', \n",
    "            dpi=1500,            # 分辨率300 DPI\n",
    "            bbox_inches='tight',# 裁剪空白区域\n",
    "            # pad_inches=0.05,\n",
    "            facecolor='white'   # 背景色（可选）\n",
    "           )\n",
    "\n",
    "\n",
    "# plt.rcParams['font.family'] = 'Times New Roman'  # 设置全局字体\n",
    "# plt.rcParams['font.size'] = 10 \n",
    "\n",
    "# plt.plot(gamma_sorted, 'ro')\n",
    "# plt.xlabel('order')\n",
    "# plt.ylabel('gamma')\n",
    "# plt.title('Gamma Graph')\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "生成聚类，设置局部密度和最小距离的阈值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rhomin: 100\tdeltamin: 0.8\n",
      "NUMBER OF CLUSTERS: 2\n"
     ]
    }
   ],
   "source": [
    "#rho（局部密度）和delta（到更高密度点的距离）来选择聚类中心\n",
    "rhomin,deltamin=100,0.8\n",
    "# rhomin = np.percentile(rho, 80)  # 取密度前20%作为候选\n",
    "# deltamin = np.percentile(delta, 90)\n",
    "print(\"rhomin: %r\\tdeltamin: %r\" % (rhomin, deltamin))\n",
    "NCLUST=0\n",
    "cl = np.ndarray((ND,),\"int\")\n",
    "cl[:] = -1\n",
    "icl = []\n",
    "for i in np.arange(ND):\n",
    "    if rho[i] > rhomin and delta[i] > deltamin:\n",
    "        NCLUST += 1\n",
    "        cl[i] = NCLUST-1\n",
    "        icl.append(i)\n",
    "print (\"NUMBER OF CLUSTERS: %r\" % NCLUST)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CLUSTER: 1 CENTER: 727 (78.5173,0.803655) ELEMENTS: 1624 CORE: 1624 HALO: 0\n",
      "CLUSTER: 2 CENTER: 1275 (56.4755,0.803655) ELEMENTS: 63 CORE: 63 HALO: 0\n"
     ]
    }
   ],
   "source": [
    "for i in range(ND):  # 使用 range 替代 np.arange\n",
    "    current_idx = ordrho[i]\n",
    "    if cl[current_idx] == -1:\n",
    "        neighbor_idx = int(nneigh[current_idx])  # 确保索引为整数\n",
    "        cl[current_idx] = cl[neighbor_idx]\n",
    "\n",
    "# halo\n",
    "halo = cl.copy()\n",
    "if NCLUST > 1:\n",
    "    bord_rho = np.zeros((NCLUST,),\"float\")\n",
    "    for i in np.arange(ND-1):\n",
    "        for j in np.arange(i+1,ND):\n",
    "            if cl[i] != cl[j] and dist[i,j] <= dc:\n",
    "                rho_aver = (rho[i]+rho[j]) / 2.\n",
    "                if rho_aver > bord_rho[cl[i]]:\n",
    "                    bord_rho[cl[i]] = rho_aver\n",
    "                if rho_aver > bord_rho[cl[j]]:\n",
    "                    bord_rho[cl[j]] = rho_aver\n",
    "    for i in np.arange(ND):\n",
    "        if rho[i] < bord_rho[cl[i]]:\n",
    "            halo[i] = -1\n",
    "for i in np.arange(NCLUST):\n",
    "    nc,nh=0,0\n",
    "    for j in np.arange(ND):\n",
    "        if cl[j] == i:\n",
    "            nc+=1\n",
    "        if halo[j] == i:\n",
    "            nh+=1\n",
    "    print (\"CLUSTER: %d CENTER: %d (%.4f,%4f) ELEMENTS: %d CORE: %d HALO: %d\" % (i+1,icl[i],rho[icl[i]],delta[icl[i]],nc,nh,nc-nh))\n",
    "node_df[\"cluster\"] = cl        # 簇标签（0到NCLUST-1）\n",
    "node_df[\"is_halo\"] = np.where(halo == -1, -1, 1)\n",
    "# node_df.to_csv('ClfDPC.csv', index=False)\n",
    "\n",
    "# plt.xlabel(r'$\\rho$')\n",
    "# plt.ylabel(r'$\\delta$')\n",
    "# plt.title('Decision Graph with Cluster Centers')\n",
    "# tt=plt.plot(rho,delta, 'o', color='black')\n",
    "# for i in np.arange(NCLUST):\n",
    "#     plt.plot(rho[icl[i]], delta[icl[i]], 'o', color=colors[i])\n",
    "# plt.axis([0,400,0,1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3D的可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "d:\\installpath\\DevelopSoftware\\anaconda3\\Lib\\site-packages\\sklearn\\manifold\\_mds.py:299: FutureWarning: The default value of `normalized_stress` will change to `'auto'` in version 1.4. To suppress this warning, manually set the value of `normalized_stress`.\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "breaking at iteration 84 with stress 3.9336201232901504\n",
      "breaking at iteration 85 with stress 4.033000897816503\n",
      "breaking at iteration 93 with stress 3.9112691593838047\n",
      "breaking at iteration 86 with stress 3.8852800932102403\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0.92, '3D Nonclassical MDS')"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sc = MDS(3,verbose=1,dissimilarity=\"precomputed\")\n",
    "Y1 = sc.fit_transform(dist)\n",
    "ax = plt.axes(projection='3d') \n",
    "ax.scatter(Y1[:,0], Y1[:,1], Y1[:,2])\n",
    "plt.title(\"3D Nonclassical MDS\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes(projection='3d') \n",
    "A=np.zeros((ND,3),'float')\n",
    "plt.title(\"3D Nonclassical MDS Clusters\")\n",
    "for i in np.arange(NCLUST):\n",
    "    nn = 0\n",
    "    for j in np.arange(ND):\n",
    "        if halo[j] == i:\n",
    "            A[nn] = Y1[j]\n",
    "            nn+=1\n",
    "    ax.scatter(A[:nn,0],A[:nn,1],A[:nn,2],color=colors[i])"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
